tab:connectionoriginal shows the frequency with which cond:necsuffbt1 holds at a single time point for the original pairwise comparison data for different \(M\)  and \(N\) , where \(n_{ij}(t) = 1\)  for all \(i,j,t\) . To be clear, here we just regard the matrix \(\tilde{X}(t)\)  in cond:necsuffbt1 as the original data rather than the smoothed data, as it originally was in [1]}. Given \(\lbrace X(t),t\in [M]\rbrace \) , the frequency here refers to \(\#\lbrace t:\text{The condition holds for } X(t)\rbrace /M\) .
